Question

Please help! Correct answer only, please! I need to finish this assignment this week. Find the product AB, if possible. Explain if it is not possible. A. B. C. D.

Answer 1

Answer: A

$\begin{pmatrix}5&0&4\\ 25&0&20\\ -15&0&-12\end{pmatrix}$

Step-by-step explanation:

$\begin{pmatrix}1\\ \:5\\ \:-3\end{pmatrix}\begin{pmatrix}5&0&4\end{pmatrix}=\begin{pmatrix}1\cdot \:5&1\cdot \:0&1\cdot \:4\\ 5\cdot \:5&5\cdot \:0&5\cdot \:4\\ \left(-3\right)\cdot \:5&\left(-3\right)\cdot \:0&\left(-3\right)\cdot \:4\end{pmatrix}=\begin{pmatrix}5&0&4\\ 25&0&20\\ -15&0&-12\end{pmatrix}$